The sum of a number nd its opposite will always add up to
absolute value?

Answers

Answer 1

Answer:

On the number line, a number and its opposite are, predictably, opposite each other. In other words, they are the same distance from zero, but on opposite sides of the number line. The opposite of zero is defined to be simply zero. The sum of a number and its opposite is always zero, as shown in the following example.

Answer 2
The sum of a number and it’s opposite will always add up to 0. For example 7+ -7 = 0

Also they have the same absolute value because absolute value is the distance form the 0 on the number line.


-5-4-3-2-1”0”1 2 3 4 5

4 and negative four are both four away form the zero and -4+4=0

Related Questions

In the function y=f(x), y varies inversely with the square of x and when x=4, y=1/2. Find y when x=1.

Answers

ok so

y= 4/3x2

Y varies inversely with square of x means

y = k (1/x²) where k is the constant

plug in y =1/3 and x = - 2 in the above equation.

1/3=k (1/{-2}²)

1/3=k (1/4)

multiply with 4 to both sides.

4/3 =k

therefore,

y=4/3 (1/x²) = 4/3x²

If f (g(x)) = Square root x+8, identify the inside function g(x) and the outside function f(x) of the composite function.

Answers

Answer:

Given composite function:

f(g(x)) = √(x + 8)

Possible functions that compose it:

g(x) = x + 8

and

f(x) = √x

joey enter a hot dog eating competition. He ate 30 1/2 hot dogs in 3/4 minutes. How many hot dogs did he eat in one min.

Answers

8 and 2/15

TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT

                                                                                 

Determine the correct equation for the following verbal sentence:
The ticket price, t, for a concert attended by 220 people equals the total revenue, r, divided by the number of people who attended.
a.
t = StartFraction r Over 220 EndFraction
c.
t = 220r
b.
t = 220 - r
d.
t = 220 + r

Answers

Answer:

t =  

Given:

The total ticket price  =t

Total number of people attended the concert =  350

Total revenue  = r

To Find:

The expression for finding the t value

Solution:

The ticket price  t  =  

Substituting the total number of people who attended the concert

t =

Step-by-step explanation:

Hope this helps:)

ANSWER USING STEPS: y=2/3x-5

Answers

i don’t know what you want an answer for but…:
when x=0, y=-5
when y=0, x=15/2
when x=1, y=-13/3
x=(3(y+5))/2

represent each solution on a number line 3​

Answers

I don't know how to represent it on a nomberline

I

how do you solve this problem lol​

Answers

You just do 852 divided by 4 which is 213

PLS DO THE MATH INT HE PICTURE

Answers

Answer:

Area = 100cm²

Perimeter = 48cm

Plane B is flying 55mph
55

mph
faster than Plane A and can fly 4275
4275
miles in the same amount of time it takes Plane A to fly 4000
4000
miles. Find the amount of time it takes for each plane to travel their respective distances.

Answers

Answer:

It takes around 5s for each plane to travel their respective distances.

Step-by-step explanation:

It takes 5s to each plane to travel

A bottle is filled with 4oz of perfume. If 20% of the perfume evaporates, how many ounces remain?​

Answers

0.8 oz.
4x0.20=0.8
I hope this helps

Answer:

The answer will be:-  ( 0.8 oz ).

A triangle has vertices (1,4),(1,1),and (-3,1). The triangle is dilated by a scale factor of two, then translated five units up, and then rotated 90° counterclockwise about the origin. What are the first roles of the image of the triangle?

Answers

The first roles of the image of the triangle are (-13, 2), (-7, 2), and (-7, -6).

Given the coordinates of the vertices (1,4),(1,1), and (-3,1), if the coordinate is dilated by a factor of 2, the resulting coordinates will be gotten by multiplying each coordinate by "2" to have (2, 8),(2,2), and (-6,2).

If it is translated five units up, the resulting coordinate will be gotten by adding 5 to the y-coordinates to have  (2, 13),(2, 7), and (-6,7).

If the resulting coordinate is then rotated 90° counterclockwise about the origin, the final position of the vertices will be at (-13, 2), (-7, 2), and (-7, -6).

Learn more here: https://brainly.com/question/14191421

You spin each spinner once. You get $39 if you spin a 2 and a vowel. You get $26 if you spin a 2 and a consonant. You get $9 if you spin a 1 and a vowel. Everything else earns $0. What is the expected value of this game? Round your answer to the second decimal if necessary

Answers

The expected value of the game is the mean value of the game

The expected value of the game is $9

For the first spinner;

The probability to spin 2 is 1/4The probability to spin 1 is 3/4

For the second spinner;

The probability to spin a vowel is 1/4The probability to spin a consonant is 3/4

So, the probability of spinning a 2 and a vowel is:

[tex]\mathbf{P(2\ and\ vowel) = \frac 14 \times \frac 14 = \frac{1}{16}}[/tex]

The earning for spinning a 2 and a vowel is $39.

So, the expected earning is:

[tex]\mathbf{Expected = 39 \times \frac{1}{16} = 2.4375}[/tex]

So, the probability of spinning a 2 and a consonant is:

[tex]\mathbf{P(2\ and\ consonant) = \frac 14 \times \frac 34 = \frac{3}{16}}[/tex]

The earning for spinning a 2 and a consonant is $26.

So, the expected earning is:

[tex]\mathbf{Expected = 26 \times \frac{3}{16} = 4.875}[/tex]

So, the probability of spinning a 1 and a vowel is:

[tex]\mathbf{P(1\ and\ vowel) = \frac 34 \times \frac 14 = \frac{3}{16}}[/tex]

The earning for spinning a 1 and a vowel is $9.

So, the expected earning is:

[tex]\mathbf{Expected = 9 \times \frac{3}{16} = 1.6875}[/tex]

So, the expected value of the game is:

[tex]\mathbf{Game =2.4375+ 4.875 + 1.6875}[/tex]

[tex]\mathbf{Game =9}[/tex]

Hence, the expected value of the game is $9

Read more about expected values at:

https://brainly.com/question/13499496

A world-famous prix fixe menu includes the following choices.

Beverage (choose one): wine, soft drink, coffee, tea, milk, juice, or cappuccino

First course (no choice): baguette, bruschetta, whole roasted garlic, and butter

Second course (choose one): quesadilla, onion soup, salad, Caesar salad, lettuce wedge, spinach salad, or romaine salad

Third course (choose one): rib eye steak, swordfish, rack of lamb, whitefish, grilled chicken, southern fried chicken, lobster, or vegetarian plate
if you choose steak, then choose one of the following: fries, mashed potatoes, creamed corn, spinach, broccoli, or grilled onions

Fourth course (choose one): chocolate cake, cinnamon tart, apple tart, pecan tart, creme brulee, mango sorbet, or chocolate tart

How many different choices are possible?

Answers

Using the fundamental counting theorem, it is found that 107,016 different choices are possible.

Fundamental counting theorem:

States that if there are n things, each with [tex]n_1, n_2, …, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

For the beverage, there are 7 options, hence [tex]n_1 = 7[/tex]For the first course, there are no choice, hence an arrangement of 4 options, that is, [tex]n_2 = 4! = 24[/tex]For the second course, there are 7 options, hence [tex]n_3 = 7[/tex]For the third course, there are 7 non-steak options, plus 6 steak options, hence [tex]n_4 = 13[/tex]For the fourth course, there are 7 choices, hence [tex]n_4 = 7[/tex]

Then, applying the theorem:

[tex]N = 7(24)(7)(13)(7) = 107016 [/tex]

107,016 different choices are possible.

A similar problem is given at https://brainly.com/question/19022577

The state of Colorado has 7 representatives in the U.S. House of Representatives. There are a total 435 representatives. What is the percentage of Colorado’s representation?

Answers

Answer:

1,61 %

Step-by-step explanation:

Divide the part you want to calculate the percentage of (in this case 7) by the total (435) and multiply by 100

7/435*100= 1,61 %

A man is walking at 7km/hr. How long will he take to cover a distance of 42km?

Answers

[tex] \: \: \: \: \: \: [/tex]

1.75hrs

Step-by-step explanation:

it would take 1.75 hrs to cover a distance of 7 kilometres by walking 4 kilometres per hour

speed= Distance/Time

= 4/1 = 4

Time Distance/Speed

= 7/4 =1.75hrs.

hope it helps

[tex] \: \: \: \: \: \: [/tex]

If your financial goal is to save at least $40000 in 10 years What would be the least amount of money to save each month

Answers

Answer:

$334   to the nearest dollar.

Step-by-step explanation:

If you just stuff it under the bed that would be

40000/ 120          (as there are 120 months in 10 years)

= $334.333...

please help me with this

Answers

Answer:

14 Is a divident of 7 and 14

whats the answers can anyone answer this question please​

Answers

Answer:

1. B

2. A

Step-by-step explanation:

1.

10^{-2} means that you move the decimal back two times

B is the only option that represents that correctly.

2.

5 * 10^{4} = 50000

2.5 * 10^{2} = 250

50000/250 = 200

Out of the options, A is the only option in which the equation also equals 200.

What does the Safe Place sign indicate?

Safe Place logo

This is a place where pets can be brought in a crisis
This is a place where adults can go in a crisis
This is a place where kids can go in a crisis
This is a place where members can go in a crisis

Answers

Answer:

This a place where kids can go

Step-by-step explanation:

in crisis

Answer:

This is a place kids can play

Step-by-step explanation:

In crisis

what is 5/8 divided 6

Answers

[tex]\sf \longmapsto \frac{5}{8} \div6[/tex]

[tex]\sf \longmapsto \frac{5}{8} \times \frac{1}{6} [/tex]

[tex]\sf \longmapsto \frac{5 \times 1}{8 \times 6} [/tex]

[tex]\sf \longmapsto \frac{5}{48} [/tex]

Answer In DECIMAL:

[tex]\sf \longmapsto0.1041[/tex]

¿De qué número es 60 el 80%?

Answers

Answer:

48

Step-by-step explanation:

2 paisa per 2 rupees per month​

Answers

Answer:

2 paisa per rupees per month

So rate= 2%

There are 16 girls and 14 boys in Mr. Chay's class. This ratio holds true for the entire school. If there are 1500 students, how many girls attend the school?

Answers

Answer:

Step-by-step explanation:

16/(16 + 14) = XX/1500

1500(16) = 30XX

XX = 800 girls

answer:TThe ratio of boys to girls is 12 to 16, 12:16 or 12/16 (all different ways this can be written). The fraction form 12/16 can be reduced by dividing

2 2/3, 2 6/15, 2 3/5, 2 4/9 sorted from least to greatest

Answers

Answer:

2 6/15, 2 4/9, 2 3/5, 2 2/3.

Answer:

2 6/15, 2 4/9, 2 3/5, 2 2/3

Step-by-step explanation:

2 6/15 = 2 2/5

8/3, 12/5, 13/5, 22/9

120/45, 108/45, 117/45, 110/45

la quinta parte de 20​

Answers

Answer:

4

Step-by-step explanation:

20/5 = 4

Judy purchased a carpet for $ 233.95 and a table set for $199.08. She received a 25% discount but had to pay 8% sale tax. What is the total price?

Answers

Answer:

$350.75

Step-by-step explanation:

Help me answer 5d, thank you!

Answers

Answer:

5. is III. Since there is a vertical asymptote at x= -3 and hole at x=0

Kim, Jenny, and Wendy are basketball players. Each plays a different position (guard, forward, and center) and wears a different number (30, 32, and 35). Kim and number 30 are too small to play center. Number 35 in the center. Neither Kim nor Wendy is the forward. Who plays guard, and what uniform number does she wear? Be sure to check both answers. A.30 B.Wendy C.Jenny D.Kim E.35 F.32

Answers

Answer:its f

Step-by-step explanation:

the only answer left i hope this helps =)

A parking area that is to be resurfaced is shaped like a trapezoid. The bases are 90 feet and 100
feet, and the height is 30 feet. What is the cost if the price of the resurfacing is $1.10 per square
foot? Answer in a whole dollar amount, without the dollar sign.

Answers

Based on the dimensions of the parking area, we know that the cost of resurfacing will be $3,135.

First find the area of the parking area:

Area of trapezoid = (Base ₁ + Base₂) / 2 x Height

= (90 + 100) / 2 x 30

= 2,850 feet²

The cost of resurfacing is:

= Area x cost per square foot

= 2,850 x 1.10

= $3,135

It will cost $3,135 to resurface the place.

Find out more at https://brainly.com/question/12451654.

the probability that a tin of paint is dented is 0.07 out of 3000 tins of paint,how many would you expect to be dented?

Answers

Answer:

3000×0.07=210 tins

Step-by-step explanation:

210 tins

Step-by-step explanation:

3000÷100×0.07

=2.1

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